Original scientific paper

Harmonic number sums in closed form

Anthony Sofo ; Victoria University College, Victoria University,Melbourne City, Australia

Abstract

We extend some results of Euler related sums. Integral and closed form representation of sums with products of harmonic numbers and cubed binomial coefficients are developed in terms of Polygamma functions. The given representations are new.

Keywords

polylogarithms; harmonic numbers; integral representations; binomial coefficients

Hrčak ID:

74877

URI

https://hrcak.srce.hr/74877

Publication date:

21.12.2011.

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